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Finding the Fourth Proportional to 77,374.19, 116,078.78 and 27,454.34

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Solution

The fourth proportional to 77,374.19, 116,078.78 and 27,454.34 is: 41,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,374.19 : 116,078.78 = 27,454.34 : x
  2. Step 2: Convert to fraction form
    77,374.19/116,078.78 = 27,454.34/x
  3. Step 3: Cross multiply
    77,374.19x = 116,078.78 × 27,454.34
  4. Step 4: Simplify right side
    77,374.19x = 3,186,866,651.74
  5. Step 5: Solve for x
    x = 3,186,866,651.74/77,374.19
  6. Step 6: Final answer
    x = 41,187.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.